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Finding the Fourth Proportional to 160,965.24, 241,449.24 and 61,098.66

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Solution

The fourth proportional to 160,965.24, 241,449.24 and 61,098.66 is: 91,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,965.24 : 241,449.24 = 61,098.66 : x
  2. Step 2: Convert to fraction form
    160,965.24/241,449.24 = 61,098.66/x
  3. Step 3: Cross multiply
    160,965.24x = 241,449.24 × 61,098.66
  4. Step 4: Simplify right side
    160,965.24x = 14,752,225,022.02
  5. Step 5: Solve for x
    x = 14,752,225,022.02/160,965.24
  6. Step 6: Final answer
    x = 91,648.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.